Finding the Third Proportional to 31.42 and 37.12

Step by Step Solution

1. Step 1: Write the proportion equation
   31.42 : 37.12 = 37.12 : x
2. Step 2: Convert to fraction form
   31.42/37.12 = 37.12/x
3. Step 3: Cross multiply
   31.42x = 37.12 × 37.12
4. Step 4: Simplify right side
   31.42x = 1,377.69
5. Step 5: Solve for x
   x = 1,377.69/31.42
6. Step 6: Final answer
   x = 43.84